ProofCells.contains_cells: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_cells.bend as ProofCells
Lines 221-228 of minebender-game@1.0.0.0/proof_cells.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_cells.bend&start_line=221&end_line=228

import Base
import minebender-game@1.0.0.0/types.bend as T
import minebender-game@1.0.0.0/board.bend as B

law contains_cells:
  for +w: Nat
  for +ys: List<&2, Nat>
  for +x: Nat
  for +y: Nat
  for +xm: {memn(List.range(w), x) == True{} : Bool}
  for e: {memn(ys, y) == True{} : Bool}
  {B.contains(B.cells.go(w, ys), T.Pos{x, y}) == True{} : Bool}

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.range
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=cells.go
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=contains
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=false_ne_true
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=contains_cells.go
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=memn
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos